Search & Filtering
Random samples of size 4 are drawn with replacement form finite population 3, 6, 9, 20. What is the variance of the sample?
The measured pH of the H2SO4 solution in water is 1.8. Calculate the volume of water needed to add to 1.00 L of this solution to increase the pH to 2.55 (The pH scale problem)
ACTIVITY IN BASIC CALCULUS
QUOTIENT RULE
I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.
- "\\frac{x^2-7x}{2x^3+5x^2}"
- "\\frac{3x^2+7x-14}{x^3-4x^2}"
- "\\frac{2x^3+8x^2}{x^2+6x^2-10}"
II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.
1. Example must have two different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{8x^2-3x}{x^2+6x^2-10}"
2. Example must have three different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"
2. A carbonate buffer of pH 10 is needed by a chemist. How many grams of Na2CO3 is needed to dissolve in 1.5L of 0.2M NaHCO3 to make the buffer? Ka of HCO3- = 4.7 x 10-11
1. What is the ionic strength of a solution composed of 0.M NaCl and 0.2M Na2SO4?
Consider the population of the values (1,2,3,4).
A. List all the possible samples of size 2 with replacement
B. Compute the mean of each sample.
C. Identify the probability of each sample.
D. Compute the mean of the sampling distribution of the means.
In the reaction Mg(OH)2 + 2HCl → MgCl2 + 2H2 O, you were given 15 grams of Mg(OH)2 and 25 grams of HCl. Which of the two reactants is the limiting reagent? How much MgCl2 will be produced in the reaction? (Mg(OH)2 = 58.32 g/mol, HCl = 36.46 g/mol, MgCl2 = 95.32 g/mol)
A random variable X has μ=12.00 and σ=3.20. Find the corresponding z- score for X=8.
A 2000 kg truck accelerates from 20kph to 120 kph in 10 seconds. Find its engine’s power output in watts.
1. Air resistance is an example of _____?
A. Gravity
B. Friction
C. Natural motion
D. All of the above
